Almost surjective ε-isometries of Banach spaces

DOI10.4064/CM100-1-3zbMath1091.46005OpenAlexW1974032747MaRDI QIDQ4821116

Igor A. Vestfrid

Publication date: 7 October 2004

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm100-1-3

zbMATH Keywords

Banach spacesHyers-Ulam stabilityisometryepsilon-isometry

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Related Items (10)

More on stability of almost surjective \(\varepsilon\)-isometries of Banach spaces ⋮ Coarse isometries between finite dimensional Banach spaces ⋮ Non-surjective coarse embeddings of continuous functions spaces ⋮ Hyers-Ulam stability of isometries and non-expansive maps between spaces of continuous functions ⋮ Hyers-Ulam stability of bijective \(\varepsilon\)-isometries between Hausdorff metric spaces of compact convex subsets ⋮ On weak stability of \(\varepsilon\)-isometries on wedges and its applications ⋮ On perturbed metric-preserved mappings and their stability characterizations ⋮ On stability and weak-star stability of \(\varepsilon\)-isometries ⋮ Stability of almost surjective \(\varepsilon\)-isometries of Banach spaces ⋮ A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces

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